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Caustics for dissipative semilinear oscillations


About this Title

Jean-Luc Joly, Guy Metivier and Jeffrey Rauch

Publication: Memoirs of the American Mathematical Society
Publication Year 2000: Volume 144, Number 685
ISBNs: 978-0-8218-2041-4 (print); 978-1-4704-0276-1 (online)
DOI: http://dx.doi.org/10.1090/memo/0685
MathSciNet review: 1682244
MSC: Primary 35L60; Secondary 35B05, 35G25

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Table of Contents


Chapters

  • 1. Introduction
  • 2. Notations and main results
  • 3. $L^p$ estimates for oscillatory integrals
  • 4. Oscillations and profiles
  • 5. The nonlinear interaction operators
  • 6. Proof of asymptotics
  • 7. Additional results and remarks
American Mathematical Society